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Finding the Fourth Proportional to 267,000, 368,461.08 and 147,768

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Solution

The fourth proportional to 267,000, 368,461.08 and 147,768 is: 203,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,000 : 368,461.08 = 147,768 : x
  2. Step 2: Convert to fraction form
    267,000/368,461.08 = 147,768/x
  3. Step 3: Cross multiply
    267,000x = 368,461.08 × 147,768
  4. Step 4: Simplify right side
    267,000x = 54,446,756,869.44
  5. Step 5: Solve for x
    x = 54,446,756,869.44/267,000
  6. Step 6: Final answer
    x = 203,920.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.